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GCD of 492, 198, 403, 320 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 492, 198, 403, 320 quickly. Get the easiest ways to solve the greatest common divisor of 492, 198, 403, 320 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 198, 403, 320 with Factoring?

Given Input numbers are 492, 198, 403, 320

In the factoring method, we have to find the divisors of all numbers

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 403 :

The positive integer divisors of 403 that completely divides 403 are.

1, 13, 31, 403

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320


GCD of numbers is the greatest common divisor

So, the GCD (492, 198, 403, 320) = 1.

Find GCD of 492, 198, 403, 320 using Prime Factorization

Given numbers are 492, 198, 403, 320

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 403 are 13 x 31

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 492, 198, 403, 320 using LCM Formula

Given numbers are 492, 198, 403, 320

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(492, 198) = 16236

GCD(492, 198) = ( 492 x 198 ) / 16236

= 492 / 198

= 492


Step2:

LCM(6, 403) = 2418

GCD(6, 403) = ( 6 x 403 ) / 2418

= 6 / 403

= 6


Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1


So, Greatest Common Divisor of 492, 198, 403, 320 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 198, 403, 320

Given numbers are 492, 198, 403, 320
The greatest common divisor of numbers 492, 198, 403, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 198, 403, 320 is 1.

FAQs on GCD of 492, 198, 403, 320 Calculator

1. What is the GCD of 492, 198, 403, 320?

GCD of given numbers 492, 198, 403, 320 is 1


2. How to calculate the greatest common divisor of 492, 198, 403, 320?

We can find the highest common divisor of 492, 198, 403, 320 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 492, 198, 403, 320 i.e 1.


3. How can I use the GCD of 492, 198, 403, 320Calculator?

Out the numbers 492, 198, 403, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.